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# One-dimensional space

In physics and mathematics, a sequence of n numbers can be understood as a location in n-dimensional space. When n = 1, the set of all such locations is called a one-dimensional space.

One-dimensional geometry

Polytopes

The only regular polytope in one dimension is the line segment, with the SchlĂ¤fli symbol { }.

Hypersphere

The hypersphere in 1 dimension is a pair of points, sometimes called a 0-sphere as its surface is zero-dimensional. Its length is

L = 2r

where r is the radius.

Coordinate systems in one-dimensional space

Main article: Coordinate system

The most popular coordinate systems are the number line and the angle.

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

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